Radians to degrees converter
Convert any finite radian value, including π expressions, into degrees. Results are calculated locally and shown with transparent steps.
Radians to degrees
degrees = radians × 180 / π
Because a half turn is π radians and 180°, multiplying by 180/π changes the unit without changing the angle.
Common angle conversions
Quick conversion table
| Radians | Degrees |
|---|---|
| π/6 | 30° |
| π/4 | 45° |
| π/3 | 60° |
| π/2 | 90° |
| π | 180° |
| 2π | 360° |
Understanding radians and degrees
Radians measure an angle using the radius and the arc it cuts from a circle. Degrees divide a full turn into 360 equal parts. Since a full turn is 2π radians, the conversion factor is 180/π.
Common mistakes
Do not multiply by π when converting radians to degrees; that factor belongs to the reverse direction. Also keep π as an exact symbol until the final step when precision matters.
Frequently asked questions
What is the radians to degrees formula?
Multiply the radian value by 180 and divide by π: degrees = radians × 180/π.
How many degrees is π/2 radians?
π/2 radians is exactly 90 degrees.
Can radians be negative?
Yes. A negative angle indicates clockwise direction, and the same conversion formula applies.